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Finding the Third Proportional to 227,112.75 and 492,861.38

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Solution

The third proportional to 227,112.75 and 492,861.38 is: 1,069,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,112.75 : 492,861.38 = 492,861.38 : x
  2. Step 2: Convert to fraction form
    227,112.75/492,861.38 = 492,861.38/x
  3. Step 3: Cross multiply
    227,112.75x = 492,861.38 × 492,861.38
  4. Step 4: Simplify right side
    227,112.75x = 242,912,334,966.89
  5. Step 5: Solve for x
    x = 242,912,334,966.89/227,112.75
  6. Step 6: Final answer
    x = 1,069,567.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.